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3 years ago

6

And airplanes at altitude change -370 ft over 7 minutes what was the mean change of altitude in feet per minute?

1 answer:

Reil [10]3 years ago

3 0

We have that
<span> [the mean change of altitude]=[change in altitude]/[time]
</span> [the mean change of altitude]=[-370]/[7]---------------> -52.86 ft/minute

the answer is -52.86 ft/minute (<span>the negative sign means that the plane is descending</span>)

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What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

$\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4)$ = $(\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)$

$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

$A = -\frac{5}{3}$

Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

7 0

2 years ago

Amy is scuba diving. She starts at – 15.5 m relative to the ocean surface. She swims

solniwko [45]

Answer:

-9.85

Step-by-step explanation:

-15.5 - 4.2 = -19.7

Negatives work like positives

19.7 / 2 = 9.85

Turn that into a negative

-9.85

3 0

2 years ago

20 points !!! -3/8x-20+2x>6

Semenov [28]

Answer:

$x > 16$

Step-by-step explanation:

$- \frac{3}{8} x -20+2x>6$

Add 20 to both sides:

$- \frac{3}{8} x + 2x > 26$

Multiply 8 on both sides:

$- 3x + 16x > 208$

$13x > 208$

Divide by 13 on both sides:

$x > 16$

3 0

3 years ago

Read 2 more answers

Factor 3x2 - 15x - 42.

11Alexandr11 [23.1K]

3 x^{2} - 15x - 42
(x-7)(x+2)
x-7=0 x+2=0
x=7,-2

8 0

3 years ago

Hey! Please explain your answer!

geniusboy [140]

Answer:

The inside of the pentagon and the angle outside the pentagon can add up the the angle of 180 degrees.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers